## Puzzle Details

In the following sum the digits 0 to 9 have all been used, O = Odd, E = Even, zero is even and the top row's digits add to 9. Can you determine each digit?

Puzzle Copyright © Kevin Stone

workings hint hide answer print

**Answer:**

Remembering that:

E + E = E

O + O = E

E + O = O

A B C

D E F +

--------

G H I J

Since column 2 is E + O = O there can be no carry from column 1 (since E + O + 1 is always even). Therefore C and F are 3 and 5 (but we don't yet know which is which), therefore J = 8.

There can't be a carry from column 2 (as A + D is even) therefore E can't be 9 as this would force a carry.

Therefore I = 9. Hence B can't be 0. Therefore H = 0.

The last remaining odd number makes E = 7. Making B = 2.

Therefore A and D are 4 and 6 (but we don't yet know which is which).

Since the top row's digits have to add to 9 the top number must be 423.

This makes the sum 423 + 675 = 1098.

Share link: www.brainbashers.com/zvzb

**Note:** BrainBashers has a Dark Mode setting.